Anomalies in (semi)-leptonic $B$ decays $B^{\pm} \to \tau^{\pm} \nu$, $B^{\pm} \to D \tau^{\pm} \nu$ and $B^{\pm} \to D^* \tau^{\pm} \nu$, and possible resolution with sterile neutrino

@article{Cvetivc2017AnomaliesI,
  title={Anomalies in (semi)-leptonic \$B\$ decays \$B^\{\pm\} \to \tau^\{\pm\} \nu\$, \$B^\{\pm\} \to D \tau^\{\pm\} \nu\$ and \$B^\{\pm\} \to D^* \tau^\{\pm\} \nu\$, and possible resolution with sterile neutrino},
  author={Gorazd Cvetivc and Francis Halzen and C. S. Kim and Sechul Oh},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2017}
}
The universality of the weak interactions can be tested in semileptonic $b \to c$ transitions, and in particular in the ratios $R(D^{(*)}) \equiv \Gamma(B \rightarrow D^{(*)} \tau \nu )/\Gamma(B \rightarrow D^{(*)} \ell \nu )$ (where $\ell = \mu$ or $e$). Due to the recent differences between the experimental measurements of these observables by BaBar, Belle and LHCb on the one hand and the Standard Model predicted values on the other hand, we study the predicted ratios $R(D^{(*)}) = \Gamma(B… 

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